What is the Least Common Multiple of 14014 and 14033?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 14014 and 14033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14014 and 14033, than apply into the LCM equation.

GCF(14014,14033) = 1
LCM(14014,14033) = ( 14014 × 14033) / 1
LCM(14014,14033) = 196658462 / 1
LCM(14014,14033) = 196658462

Least Common Multiple (LCM) of 14014 and 14033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14014 and 14033. First we will calculate the prime factors of 14014 and 14033.

Prime Factorization of 14014

Prime Factorization of 14033

Now multiplying the highest exponent prime factors to calculate the LCM of 14014 and 14033.

LCM(14014,14033) = 2¹ × 7² × 11¹ × 13¹ × 14033¹
LCM(14014,14033) = 196658462